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30 December, 16:07

Outcome

0

1

5

10

1000

Probability

0.33

0.32

0.24

0.10

0.01

Which is the expected value of the random variable with the given probability distribution?

a.

5.65

c.

12.52

b.

100.44

d.

5

+2
Answers (1)
  1. 30 December, 19:07
    0
    The expected value of the random variable with the given probability distribution = 12.52

    Step-by-step explanation:

    Given data

    x : 0 1 5 10 1000

    p (x) : 0.33 0.32 0.24 0.10 0.01

    The expected value of the given random variable of given probability distribution

    E (X) = ∑ x p (X = x)

    E (X) = 0 * 0.33 + 1 * 0.32 + 5 * 0.24 + 10 * 0.10 + 1000*0.01

    E (X) = 12.52
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